IRA 72(t) SEPP rules for separate accounts

I am 58 (59 next month) and currently have alimony (taxable, prior to 2017) as my only source of income.  I expect additional income in the future but meanwhile I established 72(t) SEPP from my IRA to help pay the bills. I understand I cannot change the balance in the IRA account that the 72(t) payments draw from. My question is, when I do have that additional income, can I make contributions to a separate/new IRA account?